Answer:
Step-by-step explanation:
9. Abby has a tree that is 10 feet long. She cuts the length of the tree into tenth and then cuts the length of each of these 1/10 pieces into fourth. How many pieces does he have? How many feet long is each piece?
1 tree = 10 feet
10 feet ÷ 40 = 0.4 feet
So, each piece is 0.4 feet long.
Answer: 0.4
Step-by-step explanation:
Hope this helps :)
Answer:
Step-by-step explanation:
There are 4 tens.
There are 48 cards that are not a 10. The probability of drawing 1 of the 48 is
P(~10) = 48/52 which is quite high as you might imagine.
Answer:
an = 17n - 46
a50 = 804
Step-by-step explanation:
-29, -12, 5, 22, ...
Subtract each number from the next one.
-12 - (-29) = 17
5 - (-12) = 17
22 - 5 = 17
The common difference is 17. This is an arithmetic sequence which starts with -29, and in which each subsequent value is 17 more than the previous value.
a1 = -29
a2 = -29 + 17
a3 = -29 + 2(17)
a4 = -29 + 3(17)
Notice that for each term, you have -29 and something added to it. What you add to -29 is 17 multiplied by 1 less than the number of the term. For term 1, 1 less than 1 is 0. You add 0 * 17 to -29 and get -29. term 1 is -29. For term 2, 1 less than 2 is 1. You add 1 * 17 to -29 and get -12, etc.
For term n, 1 less than n is n - 1. Add (n - 1) * 17 to -29 to get term n.
an = -29 + 17(n - 1)
This formula can be simplified.
an = -29 + 17n - 17
an = -46 + 17n
an = 17n - 46
a50 = 17(50) - 46
a50 = 804
Answer:
Domain → (-∞, -1)∪(-1, ∞)
Range → (-∞, ∞)
Step-by-step explanation:
Given function is,
This function is not defined when the denominator is zero.
2x + 2 = 0
2x = -2
x = -1
Therefore, x = -1 is not in the domain of this function.
And the domain will be,
(-∞, -1)∪(-1, ∞)
For all values of x (except x = -1) we get some output values (value of 
).
Therefore, range of the function will be (-∞, ∞).
Answer:
A.99.7%
Step-by-step explanation:
We are given;
- Mean of a distribution, μ as 0.68 ounce
- Standard deviation, σ as 0.02 ounce
- The range values of X between 0.62 ounce and 0.74 ounce
We are required to calculate the percentage of the weight to be between 0.62 ounce and 0.74 ounce
Step 1: Calculate the Z-score
To get the Z-score we use the formula;
Z-score = (x-μ)/σ
Therefore, when x = 0.62
Then z score = (0.62 - 0.68 ) ÷ 0.02
= -3
When, x = 0.74
Then, Z score = (0.74 - 0.68) ÷ 0.02
= 3
Step 2: we use the Z-score table or the empirical rule
Using the Z-score table;
P(-3 < z < 3) = 99.7%.
Therefore; the percentage of mice that weigh between 0.62 ounce and 0.74 ounce is 99.7%.
